Title :
Derivation of fuzzy membership functions using one-dimensional self-organizing maps
Author :
Sandidge, Thomas E. ; Dagli, Cihan H.
Author_Institution :
Smart Eng. Syst. Lab., Missouri Univ., Rolla, MO, USA
Abstract :
This paper discusses a system of self-organizing maps that approximate the fuzzy membership function for an arbitrary number of fuzzy classes. This is done through the ordering and clustering properties of one-dimensional self-organizing maps and iterative approximation of conditional probabilities of nodes in one map being the winner given that a node in the other map is the winner. Application of this system reduces fuzzy membership design time to that required to train the system of self-organizing maps
Keywords :
function approximation; fuzzy set theory; iterative methods; learning (artificial intelligence); probability; self-organising feature maps; 1D self-organizing maps; conditional probability; function approximation; fuzzy membership functions; iterative method; learning; Encoding; Equations; Fuzzy systems; Input variables; Laboratories; Neurons; Research and development management; Self organizing feature maps; Systems engineering and theory; Wastewater treatment;
Conference_Titel :
Systems, Man, and Cybernetics, 1997. Computational Cybernetics and Simulation., 1997 IEEE International Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
0-7803-4053-1
DOI :
10.1109/ICSMC.1997.638077
